English

Quantum Mechanics of Integrable Spins on Coadjoint Orbits

High Energy Physics - Theory 2016-09-06 v2

Abstract

We investigate classical integrable spins defined on the reduced phase spaces of coadjoint orbits of G=SU(N)G= SU(N) and study quantum mechanics of them. After discussions on a complete set of commuting functions on each orbit and construction of integrable spin models on the flag manifolds, we quantize a concrete example of integrable spins on SU(3) flag manifold in the coherent state quantization scheme and solve explicitly the time-dependent Schr\"odinger equation.

Keywords

Cite

@article{arxiv.hep-th/9510076,
  title  = {Quantum Mechanics of Integrable Spins on Coadjoint Orbits},
  author = {Sang-Ok Hahn and Phillial Oh and Myung-Ho Kim},
  journal= {arXiv preprint arXiv:hep-th/9510076},
  year   = {2016}
}

Comments

14 pages, Revtex, revised virsion